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A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

Author

Listed:
  • Ahmad Taher Azar
  • Christos Volos
  • Nikolaos A. Gerodimos
  • George S. Tombras
  • Viet-Thanh Pham
  • Ahmed G. Radwan
  • Sundarapandian Vaidyanathan
  • Adel Ouannas
  • Jesus M. Munoz-Pacheco

Abstract

A few special chaotic systems without unstable equilibrium points have been investigated recently. It is worth noting that these special systems are different from normal chaotic ones because the classical Shilnikov criterion cannot be used to prove chaos of such systems. A novel unusual chaotic system without equilibrium is proposed in this work. We discover dynamical properties as well as the synchronization of the new system. Furthermore, a physical realization of the system without equilibrium is also implemented to illustrate its feasibility.

Suggested Citation

  • Ahmad Taher Azar & Christos Volos & Nikolaos A. Gerodimos & George S. Tombras & Viet-Thanh Pham & Ahmed G. Radwan & Sundarapandian Vaidyanathan & Adel Ouannas & Jesus M. Munoz-Pacheco, 2017. "A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization," Complexity, Hindawi, vol. 2017, pages 1-11, February.
    • Handle: RePEc:hin:complx:7871467
    DOI: 10.1155/2017/7871467
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    References listed on IDEAS

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    1. Wu, Jiening & Wang, Lidan & Chen, Guanrong & Duan, Shukai, 2016. "A memristive chaotic system with heart-shaped attractors and its implementation," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 20-29.
    2. A. G. Radwan & K. Moaddy & I. Hashim, 2013. "Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, November.
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    Cited by:

    1. Nwachioma, Christian & Pérez-Cruz, J. Humberto, 2021. "Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Dong, Chengwei & Liu, Huihui & Jie, Qi & Li, Hantao, 2022. "Topological classification of periodic orbits in the generalized Lorenz-type system with diverse symbolic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Abir Lassoued & Olfa Boubaker, 2017. "Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms," Complexity, Hindawi, vol. 2017, pages 1-10, October.
    4. Ren, Guodong & Xue, Yuxiong & Li, Yuwei & Ma, Jun, 2019. "Field coupling benefits signal exchange between Colpitts systems," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 45-54.

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